Lebegue控制收敛定理的一种改进  

An Improvement of Lebesgue’s Contral Covergence Theorem

作　　者：米永生[1] 

机构地区：[1]涪陵师范学院数学系,重庆涪陵408003

出　　处：《甘肃联合大学学报（自然科学版）》2007年第2期18-19,17,共3页Journal of Gansu Lianhe University :Natural Sciences

摘　　要：对Lebegue控制收敛定理进行了改进,由此得到比Lebegue控制收敛定理更一般的结论,并对Fatou引理进行了推广,用推广的Fatou引理对改进后的Lebegue控制收敛定理给出了证明.By improving the theory of Lebesgue＇s controlling covergence, we can draw a conclusion which is draw more intensive than the theory of Lebesgue＇s controlling covergence. We also generate Fatou＇s lemma. The improving theory of Lebesgue＇s controlling covergence can be proved by the generated Fatou＇s lemma.

关 键 词：Lebegue控制收敛定理 FATOU引理 可测函数 

分 类 号：O174.1[理学—数学]